800233434 has 192 divisors, whose sum is σ = 2430425088. Its totient is φ = 183427200.

The previous prime is 800233417. The next prime is 800233459. The reversal of 800233434 is 434332008.

It is a junction number, because it is equal to n+sod(n) for n = 800233398 and 800233407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 413449 + ... + 415379.

It is an arithmetic number, because the mean of its divisors is an integer number (12658464).

Almost surely, 2^800233434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800233434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215212544).

800233434 is an abundant number, since it is smaller than the sum of its proper divisors (1630191654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800233434 is a wasteful number, since it uses less digits than its factorization.

800233434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 800233434 is about 28288.3975155893. The cubic root of 800233434 is about 928.4080499958.

The spelling of 800233434 in words is "eight hundred million, two hundred thirty-three thousand, four hundred thirty-four".